%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV353-1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KF0DzZjHdN true
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:00:53 PM UTC 2025
% Result : Unsatisfiable 11.44s 2.94s
% Output : Refutation 11.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV353-1 : TPTP v9.2.0. Released v3.2.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KF0DzZjHdN true
% 0.10/0.32 % Computer : n013.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 12:28:08 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.33 % Python version: Python 3.6.8
% 0.10/0.33 % Running in FO mode
% 0.57/0.62 % Total configuration time : 435
% 0.57/0.62 % Estimated wc time : 1092
% 0.57/0.62 % Estimated cpu time (7 cpus) : 156.0
% 1.03/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.03/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.03/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.25/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.25/0.83 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.88 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.88 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.44/2.94 % Solved by fo/fo3_bce.sh.
% 11.44/2.94 % BCE start: 697
% 11.44/2.94 % BCE eliminated: 149
% 11.44/2.94 % PE start: 548
% 11.44/2.94 logic: eq
% 11.44/2.94 % PE eliminated: 0
% 11.44/2.94 % done 1307 iterations in 2.120s
% 11.44/2.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.44/2.94 % SZS output start Refutation
% 11.44/2.94 thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 11.44/2.94 thf(v_evso_type, type, v_evso: $i).
% 11.44/2.94 thf(c_Event_Oevent_OGets_type, type, c_Event_Oevent_OGets: $i > $i > $i).
% 11.44/2.94 thf(c_Message_Omsg_OMPair_type, type, c_Message_Omsg_OMPair: $i > $i > $i).
% 11.44/2.94 thf(c_Message_Omsg_OAgent_type, type, c_Message_Omsg_OAgent: $i > $i).
% 11.44/2.94 thf(c_Event_Oevent_OSays_type, type, c_Event_Oevent_OSays: $i > $i > $i > $i).
% 11.44/2.94 thf(v_NAa_type, type, v_NAa: $i).
% 11.44/2.94 thf(tc_List_Olist_type, type, tc_List_Olist: $i > $i).
% 11.44/2.94 thf(tc_Event_Oevent_type, type, tc_Event_Oevent: $i).
% 11.44/2.94 thf(c_Message_Oagent_OSpy_type, type, c_Message_Oagent_OSpy: $i).
% 11.44/2.94 thf(v_X_type, type, v_X: $i).
% 11.44/2.94 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 11.44/2.94 thf(c_Message_Omsg_OKey_type, type, c_Message_Omsg_OKey: $i > $i).
% 11.44/2.94 thf(v_A_type, type, v_A: $i).
% 11.44/2.94 thf(v_NB_type, type, v_NB: $i).
% 11.44/2.94 thf(c_Message_Omsg_ONonce_type, type, c_Message_Omsg_ONonce: $i > $i).
% 11.44/2.94 thf(c_Message_Oagent_OServer_type, type, c_Message_Oagent_OServer: $i).
% 11.44/2.94 thf(c_Yahalom_Oyahalom_type, type, c_Yahalom_Oyahalom: $i).
% 11.44/2.94 thf(v_NA_type, type, v_NA: $i).
% 11.44/2.94 thf(c_Message_Oanalz_type, type, c_Message_Oanalz: $i > $i).
% 11.44/2.94 thf(v_K_type, type, v_K: $i).
% 11.44/2.94 thf(c_Message_Omsg_OCrypt_type, type, c_Message_Omsg_OCrypt: $i > $i > $i).
% 11.44/2.94 thf(c_Public_OshrK_type, type, c_Public_OshrK: $i > $i).
% 11.44/2.94 thf(c_List_Oset_type, type, c_List_Oset: $i > $i > $i).
% 11.44/2.94 thf(v_Aa_type, type, v_Aa: $i).
% 11.44/2.94 thf(v_B_type, type, v_B: $i).
% 11.44/2.94 thf(c_Event_Oknows_type, type, c_Event_Oknows: $i > $i > $i).
% 11.44/2.94 thf(v_Ba_type, type, v_Ba: $i).
% 11.44/2.94 thf(cls_conjecture_5, conjecture,
% 11.44/2.94 (~( c_in @
% 11.44/2.94 ( c_Event_Oevent_OSays @
% 11.44/2.94 v_B @ c_Message_Oagent_OServer @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OAgent @ v_B ) @
% 11.44/2.94 ( c_Message_Omsg_OCrypt @
% 11.44/2.94 ( c_Public_OshrK @ v_B ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OAgent @ v_A ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_ONonce @ v_NA ) @
% 11.44/2.94 ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) ) @
% 11.44/2.94 ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ))).
% 11.44/2.94 thf(zf_stmt_0, negated_conjecture,
% 11.44/2.94 (c_in @
% 11.44/2.94 ( c_Event_Oevent_OSays @
% 11.44/2.94 v_B @ c_Message_Oagent_OServer @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OAgent @ v_B ) @
% 11.44/2.94 ( c_Message_Omsg_OCrypt @
% 11.44/2.94 ( c_Public_OshrK @ v_B ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OAgent @ v_A ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_ONonce @ v_NA ) @
% 11.44/2.94 ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) ) @
% 11.44/2.94 ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent),
% 11.44/2.94 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 11.44/2.94 thf(zip_derived_cl691, plain,
% 11.44/2.94 ( (c_in @
% 11.44/2.94 (c_Event_Oevent_OSays @ v_B @ c_Message_Oagent_OServer @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_B) @
% 11.44/2.94 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_B) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_A) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NA) @
% 11.44/2.94 (c_Message_Omsg_ONonce @ v_NB)))))) @
% 11.44/2.94 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 11.44/2.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.44/2.94 thf(cls_Yahalom_OSays__unique__NB_0, axiom,
% 11.44/2.94 (( ~( c_in @
% 11.44/2.94 V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) |
% 11.44/2.94 ( ~( c_in @
% 11.44/2.94 ( c_Event_Oevent_OGets @
% 11.44/2.94 V_S_H @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 V_X_H @
% 11.44/2.94 ( c_Message_Omsg_OCrypt @
% 11.44/2.94 ( c_Public_OshrK @ V_B_H ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OAgent @ V_A_H ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_ONonce @ V_NA_H ) @ V_nb ) ) ) ) ) @
% 11.44/2.94 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 11.44/2.94 ( ~( c_in @
% 11.44/2.94 ( c_Event_Oevent_OSays @
% 11.44/2.94 V_C @ V_S @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 V_X @
% 11.44/2.94 ( c_Message_Omsg_OCrypt @
% 11.44/2.94 ( c_Public_OshrK @ V_B ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OAgent @ V_A ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_ONonce @ V_NA ) @ V_nb ) ) ) ) ) @
% 11.44/2.94 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 11.44/2.94 ( c_in @
% 11.44/2.94 V_nb @
% 11.44/2.94 ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @
% 11.44/2.94 tc_Message_Omsg ) |
% 11.44/2.94 ( ( V_NA_H ) = ( V_NA ) ))).
% 11.44/2.94 thf(zip_derived_cl680, plain,
% 11.44/2.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 11.44/2.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 11.44/2.94 (~ (c_in @ X0 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))
% 11.44/2.94 | ~ (c_in @
% 11.44/2.94 (c_Event_Oevent_OGets @ X1 @
% 11.44/2.94 (c_Message_Omsg_OMPair @ X2 @
% 11.44/2.94 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X3) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X4) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ X5) @ X6))))) @
% 11.44/2.94 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 11.44/2.94 | ~ (c_in @
% 11.44/2.94 (c_Event_Oevent_OSays @ X7 @ X8 @
% 11.44/2.94 (c_Message_Omsg_OMPair @ X9 @
% 11.44/2.94 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X10) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X11) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ X12) @ X6))))) @
% 11.44/2.94 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 11.44/2.94 | (c_in @ X6 @
% 11.44/2.94 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ X0)) @
% 11.44/2.94 tc_Message_Omsg)
% 11.44/2.94 | ((X5) = (X12)))),
% 11.44/2.94 inference('cnf', [status(esa)], [cls_Yahalom_OSays__unique__NB_0])).
% 11.44/2.94 thf(zip_derived_cl7098, plain,
% 11.44/2.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 11.44/2.94 (((X0) = (v_NA))
% 11.44/2.94 | (c_in @ (c_Message_Omsg_ONonce @ v_NB) @
% 11.44/2.94 (c_Message_Oanalz @
% 11.44/2.94 (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso)) @
% 11.44/2.94 tc_Message_Omsg)
% 11.44/2.94 | ~ (c_in @
% 11.44/2.94 (c_Event_Oevent_OGets @ X4 @
% 11.44/2.94 (c_Message_Omsg_OMPair @ X3 @
% 11.44/2.94 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ X0) @
% 11.44/2.94 (c_Message_Omsg_ONonce @ v_NB)))))) @
% 11.44/2.94 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)
% 11.44/2.94 | ~ (c_in @ v_evso @ c_Yahalom_Oyahalom @
% 11.44/2.94 (tc_List_Olist @ tc_Event_Oevent)))),
% 11.44/2.94 inference('sup-', [status(thm)], [zip_derived_cl691, zip_derived_cl680])).
% 11.44/2.94 thf(cls_conjecture_6, conjecture,
% 11.44/2.94 (c_in @
% 11.44/2.94 ( c_Message_Omsg_ONonce @ v_NB ) @
% 11.44/2.94 ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso ) ) @
% 11.44/2.94 tc_Message_Omsg)).
% 11.44/2.94 thf(zf_stmt_1, negated_conjecture,
% 11.44/2.94 (~( c_in @
% 11.44/2.94 ( c_Message_Omsg_ONonce @ v_NB ) @
% 11.44/2.94 ( c_Message_Oanalz @
% 11.44/2.94 ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso ) ) @
% 11.44/2.94 tc_Message_Omsg )),
% 11.44/2.94 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 11.44/2.94 thf(zip_derived_cl690, plain,
% 11.44/2.94 (~ (c_in @ (c_Message_Omsg_ONonce @ v_NB) @
% 11.44/2.94 (c_Message_Oanalz @ (c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso)) @
% 11.44/2.94 tc_Message_Omsg)),
% 11.44/2.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 11.44/2.94 thf(cls_conjecture_2, conjecture,
% 11.44/2.94 (~( c_in @
% 11.44/2.94 v_evso @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ))).
% 11.44/2.94 thf(zf_stmt_2, negated_conjecture,
% 11.44/2.94 (c_in @ v_evso @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent )),
% 11.44/2.94 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 11.44/2.94 thf(zip_derived_cl694, plain,
% 11.44/2.94 ( (c_in @ v_evso @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))),
% 11.44/2.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 11.44/2.94 thf(zip_derived_cl7104, plain,
% 11.44/2.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 11.44/2.94 (((X0) = (v_NA))
% 11.44/2.94 | ~ (c_in @
% 11.44/2.94 (c_Event_Oevent_OGets @ X4 @
% 11.44/2.94 (c_Message_Omsg_OMPair @ X3 @
% 11.44/2.94 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ X0) @
% 11.44/2.94 (c_Message_Omsg_ONonce @ v_NB)))))) @
% 11.44/2.94 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 11.44/2.94 inference('demod', [status(thm)],
% 11.44/2.94 [zip_derived_cl7098, zip_derived_cl690, zip_derived_cl694])).
% 11.44/2.94 thf(cls_conjecture_3, conjecture,
% 11.44/2.94 (~( c_in @
% 11.44/2.94 ( c_Event_Oevent_OSays @
% 11.44/2.94 c_Message_Oagent_OServer @ v_Aa @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OCrypt @
% 11.44/2.94 ( c_Public_OshrK @ v_Aa ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OAgent @ v_Ba ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OKey @ v_K ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_ONonce @ v_NAa ) @
% 11.44/2.94 ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @
% 11.44/2.94 v_X ) ) @
% 11.44/2.94 ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ))).
% 11.44/2.94 thf(zf_stmt_3, negated_conjecture,
% 11.44/2.94 (c_in @
% 11.44/2.94 ( c_Event_Oevent_OSays @
% 11.44/2.94 c_Message_Oagent_OServer @ v_Aa @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OCrypt @
% 11.44/2.94 ( c_Public_OshrK @ v_Aa ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OAgent @ v_Ba ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OKey @ v_K ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_ONonce @ v_NAa ) @
% 11.44/2.94 ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @
% 11.44/2.94 v_X ) ) @
% 11.44/2.94 ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent),
% 11.44/2.94 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 11.44/2.94 thf(zip_derived_cl693, plain,
% 11.44/2.94 ( (c_in @
% 11.44/2.94 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_Aa @
% 11.44/2.94 (c_Message_Omsg_OMPair @
% 11.44/2.94 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Aa) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OKey @ v_K) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NAa) @
% 11.44/2.94 (c_Message_Omsg_ONonce @ v_NB))))) @
% 11.44/2.94 v_X)) @
% 11.44/2.94 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 11.44/2.94 inference('cnf', [status(esa)], [zf_stmt_3])).
% 11.44/2.94 thf(cls_Yahalom_OSays__Server__imp__YM2_0, axiom,
% 11.44/2.94 (( ~( c_in @
% 11.44/2.94 V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) |
% 11.44/2.94 ( ~( c_in @
% 11.44/2.94 ( c_Event_Oevent_OSays @
% 11.44/2.94 c_Message_Oagent_OServer @ V_A @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OCrypt @
% 11.44/2.94 ( c_Public_OshrK @ V_A ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OAgent @ V_B ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 V_k @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @
% 11.44/2.94 V_X ) ) @
% 11.44/2.94 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) |
% 11.44/2.94 ( c_in @
% 11.44/2.94 ( c_Event_Oevent_OGets @
% 11.44/2.94 c_Message_Oagent_OServer @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OAgent @ V_B ) @
% 11.44/2.94 ( c_Message_Omsg_OCrypt @
% 11.44/2.94 ( c_Public_OshrK @ V_B ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @
% 11.44/2.94 ( c_Message_Omsg_OAgent @ V_A ) @
% 11.44/2.94 ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) ) @
% 11.44/2.94 ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ))).
% 11.44/2.94 thf(zip_derived_cl679, plain,
% 11.44/2.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 11.44/2.94 (~ (c_in @ X0 @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))
% 11.44/2.94 | ~ (c_in @
% 11.44/2.94 (c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ X1 @
% 11.44/2.94 (c_Message_Omsg_OMPair @
% 11.44/2.94 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X1) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ X3 @
% 11.44/2.94 (c_Message_Omsg_OMPair @ X4 @ X5)))) @
% 11.44/2.94 X6)) @
% 11.44/2.94 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent)
% 11.44/2.94 | (c_in @
% 11.44/2.94 (c_Event_Oevent_OGets @ c_Message_Oagent_OServer @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X2) @
% 11.44/2.94 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ X2) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ X1) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ X4 @ X5))))) @
% 11.44/2.94 (c_List_Oset @ X0 @ tc_Event_Oevent) @ tc_Event_Oevent))),
% 11.44/2.94 inference('cnf', [status(esa)], [cls_Yahalom_OSays__Server__imp__YM2_0])).
% 11.44/2.94 thf(zip_derived_cl7086, plain,
% 11.44/2.94 (( (c_in @
% 11.44/2.94 (c_Event_Oevent_OGets @ c_Message_Oagent_OServer @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 11.44/2.94 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Ba) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NAa) @
% 11.44/2.94 (c_Message_Omsg_ONonce @ v_NB)))))) @
% 11.44/2.94 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)
% 11.44/2.94 | ~ (c_in @ v_evso @ c_Yahalom_Oyahalom @
% 11.44/2.94 (tc_List_Olist @ tc_Event_Oevent)))),
% 11.44/2.94 inference('sup-', [status(thm)], [zip_derived_cl693, zip_derived_cl679])).
% 11.44/2.94 thf(zip_derived_cl694, plain,
% 11.44/2.94 ( (c_in @ v_evso @ c_Yahalom_Oyahalom @ (tc_List_Olist @ tc_Event_Oevent))),
% 11.44/2.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 11.44/2.94 thf(zip_derived_cl7092, plain,
% 11.44/2.94 ( (c_in @
% 11.44/2.94 (c_Event_Oevent_OGets @ c_Message_Oagent_OServer @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Ba) @
% 11.44/2.94 (c_Message_Omsg_OCrypt @ (c_Public_OshrK @ v_Ba) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_OAgent @ v_Aa) @
% 11.44/2.94 (c_Message_Omsg_OMPair @ (c_Message_Omsg_ONonce @ v_NAa) @
% 11.44/2.94 (c_Message_Omsg_ONonce @ v_NB)))))) @
% 11.44/2.94 (c_List_Oset @ v_evso @ tc_Event_Oevent) @ tc_Event_Oevent)),
% 11.44/2.94 inference('demod', [status(thm)], [zip_derived_cl7086, zip_derived_cl694])).
% 11.44/2.94 thf(zip_derived_cl7474, plain, (((v_NAa) = (v_NA))),
% 11.44/2.94 inference('sup+', [status(thm)], [zip_derived_cl7104, zip_derived_cl7092])).
% 11.44/2.94 thf(cls_conjecture_8, conjecture,
% 11.44/2.94 (~( ( ( v_NA ) != ( v_NAa ) ) |
% 11.44/2.94 ( ( V_U ) != ( c_Message_Omsg_OKey @ v_K ) ) ))).
% 11.44/2.94 thf(zf_stmt_4, negated_conjecture,
% 11.44/2.94 (( ( v_NA ) != ( v_NAa ) ) | ( ( V_U ) != ( c_Message_Omsg_OKey @ v_K ) )),
% 11.44/2.94 inference('cnf.neg', [status(esa)], [cls_conjecture_8])).
% 11.44/2.94 thf(zip_derived_cl689, plain,
% 11.44/2.94 (![X0 : $i]:
% 11.44/2.94 (((v_NA) != (v_NAa)) | ((X0) != (c_Message_Omsg_OKey @ v_K)))),
% 11.44/2.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 11.44/2.94 thf(zip_derived_cl1751, plain, (((v_NA) != (v_NAa))),
% 11.44/2.94 inference('eq_res', [status(thm)], [zip_derived_cl689])).
% 11.44/2.94 thf(zip_derived_cl7478, plain, ($false),
% 11.44/2.94 inference('simplify_reflect-', [status(thm)],
% 11.44/2.94 [zip_derived_cl7474, zip_derived_cl1751])).
% 11.44/2.94
% 11.44/2.94 % SZS output end Refutation
% 11.44/2.94
% 11.44/2.94
% 11.44/2.94 % Terminating...
% 11.86/3.11 % Runner terminated.
% 11.86/3.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------